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References
W. Arveson, On groups of automorphisms of operator algebras, J. Fnal. Anal., 15 (1974), 217–243.
J. Bion-Nadal, Espace des états normaux d’une facteur de type IIIλ, 0<λ<1, et d’un facteur de type III0, Canadian J. Math. (to appear).
O. Bratteli and U. Haagerup, Unbounded derivations and invariant states, Comm. Math. Phys., 59 (1978), 79–95.
A. Connes, Une classification des facteurs de type III, Ann. Ec. Norm. Sup., 6 (1973), 133–252.
A. Connes, Classification of injective factors, Ann. Math., 104 (1976), 73–115.
A. Connes and E. Størmer, Homogeneity of the state space of factors of type III1, J. Fnal. Anal., 28 (1978), 187–196.
U. Haagerup, On the dual weights for crossed products of von Neumann algebras, II, Math. Scand., 43 (1978), 119–140.
R. Powers, Representations of uniformly hyperfinite algebras and their associated von Neumann rings, Ann. Math., 86 (1967), 138–171.
S. Sakai, The theory of W*-algebras, Lecture notes, Yale University Press, New Haven, 1962.
M. Takesaki, Tomita’s theory of modular Hilbert algebras and its applications, Lecture Notes in Math., No. 128, 1970.
M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math., 131 (1973), 249–310.
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© 1985 Springer-Verleg
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Connes, A., Haagerup, U., Størmer, E. (1985). Diameters of state spaces of type III factors. In: Araki, H., Moore, C.C., Stratila, ŞV., Voiculescu, DV. (eds) Operator Algebras and their Connections with Topology and Ergodic Theory. Lecture Notes in Mathematics, vol 1132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074881
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DOI: https://doi.org/10.1007/BFb0074881
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